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Finding the Fourth Proportional to 585.66, 876.33 and 421.14

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Solution

The fourth proportional to 585.66, 876.33 and 421.14 is: 630.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.66 : 876.33 = 421.14 : x
  2. Step 2: Convert to fraction form
    585.66/876.33 = 421.14/x
  3. Step 3: Cross multiply
    585.66x = 876.33 × 421.14
  4. Step 4: Simplify right side
    585.66x = 369,057.62
  5. Step 5: Solve for x
    x = 369,057.62/585.66
  6. Step 6: Final answer
    x = 630.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.